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11324256 = 253179659
BaseRepresentation
bin101011001100…
…101101100000
3210022022221220
4223030231200
510344334011
61042415040
7165153216
oct53145540
923268856
1011324256
116435099
123961480
132466558
14170acb6
15eda506
hexaccb60

11324256 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3747968.

The previous prime is 11324251. The next prime is 11324267. The reversal of 11324256 is 65242311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16855 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 211324256 is an apocalyptic number.

11324256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

11324256 is an abundant number, since it is smaller than the sum of its proper divisors (18613344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11324256 is a wasteful number, since it uses less digits than its factorization.

11324256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 11324256 is about 3365.1531911638. The cubic root of 11324256 is about 224.5621509695.

Adding to 11324256 its reverse (65242311), we get a palindrome (76566567).

The spelling of 11324256 in words is "eleven million, three hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 659 716 1074 1318 1432 1977 2148 2636 2864 3954 4296 5272 5728 7908 8592 10544 15816 17184 21088 31632 63264 117961 235922 353883 471844 707766 943688 1415532 1887376 2831064 3774752 5662128 11324256